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Finite temperature phase transition in the two-dimensional Coulomb glass at low disorders

2017/08/31 by Preeti Bhandari, Vikas Malik · 12 citations
Materials Science · Physics and Astronomy · #Classical XY model #Coulomb #Critical exponent #Exponent #Lattice (music) #Material Dynamics and Properties #Monte Carlo method #Phase transition #Quantum and electron transport phenomena #Scaling #Spin glass #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1140/epjb/e2019-100006-y

published in The European Physical Journal B 92(7) (Springer Science+Business Media) · 7 pages, 20 figures

openalex created_date 2017/08/17 · openalex publication_date 2019/07/01 · arxiv created 2019/07/30 · arxiv updated 2019/07/31 · openalex updated_date 2026/08/05

Abstract

We present numerical evidence using Monte Carlo simulations of finite-temperature phase transition in two dimensional Coulomb Glass lattice model with random site energies at half-filling. For the disorder strengths (W) studied in this paper, we find the existence of charge-ordered phase (COP) below the critical temperature (Tc(W)). Also, the probability distribution of staggered magnetization calculated at each W shows a two-peak structure at their respective critical temperature. Thus the phase transition from fluid to COP as a function of temperature is second order for all W. We find no evidence of a spin glass phase between a fluid and the COP. Further, we have used a finite-size scaling analysis to calculate the critical exponents. The critical exponents at zero disorder are different from the one found at finite disorders, which indicates that the disorder is a relevant parameter here. The critical exponent for correlation length of ν increases and Tc decreases with increasing disorder. Similar behaviour for ν was seen in the work of Overlin et al for three dimensional Coulomb Glass model with a positional disorder. Our study also shows that other critical exponents are also a function of the disorder.

Citations